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1. Permutation (music): In music, a permutation (order) of a set is any ordering of the elements of that set. A specific arrangement of a set of discrete entities, or parameters, such as pitch, dynamics, or timbre. (Music) [100%] 2023-12-13 [Permutations]
2. Permutation: In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the ... (Mathematical version of an order change) [100%] 2023-12-13 [Factorial and binomial topics] [Permutations]...
3. Permutation: of $ n $ elements A finite sequence of length $ n $ in which all the elements are different, i.e. a permutation is an arrangement of $ n $ elements without repetition. (Mathematics) [100%] 2024-01-12
4. Permutator: An eigen value $ \lambda $ of a stochastic kernel that it is different from one and such that $ | \lambda | = 1 $. A non-negative continuous function $ K( x, y) $ given on a compact set $ \Omega $ in a finite-dimensional space is called ... (Mathematics) [80%] 2023-01-26
5. Permeation: In physics and engineering, permeation (also called imbuing) is the penetration of a permeate (a fluid such as a liquid, gas, or vapor) through a solid. It is directly related to the concentration gradient of the permeate, a material's ... (Physics) [80%] 2023-09-30 [Physical quantities]
6. Permeation: In physics and engineering, permeation (also called imbuing) is the penetration of a permeate (a fluid such as a liquid, gas, or vapor) through a solid. It is directly related to the concentration gradient of the permeate, a material's ... (Penetration of a liquid, gas, or vapor through a solid) [80%] 2024-01-08 [Physical quantities] [Packaging]...
7. Permutation model: In mathematical set theory, a permutation model is a model of set theory with atoms (ZFA) constructed using a group of permutations of the atoms. A symmetric model is similar except that it is a model of ZF (without atoms ... (Model of set theory constructed using permutations) [70%] 2023-12-21 [Set theory]
8. Permutation relationships: permutation relations Rules for permuting the product of two creation or annihilation operators. That is, for the annihilation operators $ \{ {a( f ) } : {f \in H } \} $ and the adjoint creation operators $ \{ {a ^ \star ( f ) } : {f \in H } \} $, where $ H $ is some Hilbert ... (Mathematics) [70%] 2023-10-17
9. Pseudorandom permutation: In cryptography, a pseudorandom permutation (PRP) is a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with uniform probability, from the family of all permutations on the function's domain) with practical ... (Class of functions in cryptography) [70%] 2024-01-09 [Theory of cryptography] [Cryptographic primitives]...
10. Permutation box: In cryptography, a permutation box (or P-box) is a method of bit-shuffling used to permute or transpose bits across S-boxes inputs, retaining diffusion while transposing. In block ciphers, the S-boxes and P-boxes are used to ... [70%] 2023-02-17 [Permutations]
11. Permutation group: In mathematical group theory, the set of permutations on a set of objects form a group, is called a permutation group, with composition as the group operation. For example, let A {\displaystyle A} denote a finite set of n {\displaystyle ... [70%] 2023-06-16
12. Vexillary permutation: In mathematics, a vexillary permutation is a permutation μ of the positive integers containing no subpermutation isomorphic to the permutation (2143); in other words, there do not exist four numbers i < j < k < l with μ(j) < μ(i) < μ(l) < μ(k). They were ... [70%] 2022-11-19 [Permutation patterns]
13. Permutation polynomial: In mathematics, a permutation polynomial (for a given ring) is a polynomial that acts as a permutation of the elements of the ring, i.e. the map x ↦ g ( x ) {\displaystyle x\mapsto g(x)} is a bijection. [70%] 2023-01-27 [Polynomials] [Permutations]...
14. Random permutation: A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable. The use of random permutations is often fundamental to fields that use randomized algorithms such as coding theory, cryptography, and simulation. (Sequence where any order is equally likely) [70%] 2023-09-28 [Permutations] [Randomized algorithms]...
15. Permutation matrix: In mathematics, particularly in matrix theory, a permutation matrix is a square binary matrix that has exactly one entry of 1 in each row and each column and 0s elsewhere. Each such matrix, say P, represents a permutation of m ... (Matrix with exactly one 1 per row and column) [70%] 2023-09-10 [Matrices] [Permutations]...
16. Walsh permutation: The term n-bit Walsh permutation was chosen by the author for permutations of 2 elements, that permute Walsh functions into other Walsh functions. Walsh permutations of 2 elements can be represented by an n-element compression vector of integers ... [70%] 2023-04-02 [Walsh permutation]
17. Alternating permutation: In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set {1, 2, 3, ..., n} is a permutation (arrangement) of those numbers so that each entry is alternately greater or less than the preceding entry. For example, the five ... (Type of permutation) [70%] 2023-08-05 [Permutations] [Enumerative combinatorics]...
18. Permutation pattern: In combinatorial mathematics and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation as a sequence of digits representing the result of applying the permutation to ... [70%] 2023-03-09 [Permutation patterns]
19. Permutation test: A statistical test intended for testing the hypothesis $ H _ \star $ according to which the probability density (cf. Density of a probability distribution) of an observable random vector $ X = ( X _ {1} \dots X _ {n} ) $ belongs to the family ... (Mathematics) [70%] 2023-10-04
20. Permutation representation: In mathematics, the term permutation representation of a (typically finite) group \displaystyle{ G }[/math] can refer to either of two closely related notions: a representation of \displaystyle{ G }[/math] as a group of permutations, or as a group of permutation ... [70%] 2023-12-11 [Representation theory of finite groups] [Permutation groups]...